To predict high-frequency oil-flow phenomena in hydraulic-shock-absorber designs, a mathematical-physical model is proposed. The model consists of the 2-D unsteady Euler equations in axial-symmetric coordinates and an appropriate equation of state for oil. The main topic of the paper is the development of a numerical method for these equations. A new Osher-type flux-difference splitting scheme is derived for it. The mathematical-physical model and its numerical approximation are applied to a simplified part from a shock-absorber design. The method is promising as far as more realistic computations are concerned.

Method of lines (msc 65M20), Method of characteristics (msc 65M25), Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (msc 65M60), Existence, uniqueness, and regularity theory (msc 76N10), Hydro- and aero-acoustics (msc 76Q05)
CWI
Department of Numerical Mathematics [NM]
Numerical mathematics

Koren, B, Michielsen, P.F.M, Kars, J.-W, & Wesseling, P. (1995). A computational method for oleo-acoustics, application to hydraulic shock absorbers. Department of Numerical Mathematics [NM]. CWI.